Question

Find the volume of a cone with a base diameter of

Answer 1

Given,

The height of the cone is

`h=7\text{ in.}`

The diameter of the cone is

`d=10\text{ in.}`

To find: Find the volume of a cone.

Solution:

The volume of the cone is calculated by the formula.

`V=(1)/(3)\pi* r^2* h`

The radius of the cone is

`\begin{gathered} r=\frac{10\text{ in.}}{2} \\ r=5\text{ in.} \end{gathered}`

Substitute the given values in the formula.

`\begin{gathered} V=(1)/(3)*\pi*\text{\lparen5 in.\rparen}^2*\text{7 in.} \\ V=(25*7)/(3)\pi\text{ in.}^3 \\ V=58.34\pi\text{ in.}^3 \end{gathered}`

Thus, the volume of the cone is

`V=58.34\pi\text{ in.}^3`